In an
a.P. The first term is 8, nth term is 33 and the sum of first n term is 123. Find n and d
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here is your answer mate.
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Answer:
- First Term ( a ) = 8
- Last Term ( l ) = 33
- Sum of n terms ( Sn ) = 123
• Sum of Nth Terms of AP :
↠ Sn = n(a+l) /2
↠ 123 = n(41) /2
↠ 123 × 2 /41 = n
↠ n = 3 × 2
↠ n = 6
• Nth Term of the AP :
↠ l = a + [n - 1]d
↠ 33 = 8 + 5d
↠ 33 - 8 = 5d
↠ 25 = 5d
↠ d = 5
∴ There will be 6 terms with 5 Common Difference in the Arithmetic Progresion.
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